基于微体积扰动的颗粒增强复合材料有效弹性性能的预测模型

Model for Prediction of Effective Elastic Moduli of Particulate Reinforced Composite Materials

基于对埋入无限大基体中的夹杂作微"膨胀"型体积扰动的假设,提出复合材料有效弹性模量的一种预测模型。以自洽理论为出发点,推导出基体和夹杂均为各向同性的颗粒增强复合材料有效弹性模量的细观力学解析计算公式。以颗粒增强金属基复合材料和纳米增强相复合材料为算例对有效弹性模量进行了预测,并与已有的实验及用传统的Mori-Tnanka法的预测结果进行比较,证明所提出的解析公式的合理性和工程实用性。

A model based on the perturbation of volume of inhomogeneities is suggested to predicate effective properties of particulate reinforced composite materials containing isotropic spherical or elliptical inhomogeneities. The formula, which is derived based on the 'expansion' of the volume of inclusion, can be used to predicate effective properties of composite material expediently. In comparison with experimental data and the results of the Mori-Tanaka's approach , it is found that for normal metal matrix composites the formula can give an excellent prediction. It is worth noticing that for nano-composites, the formula derived works still well and produces satisfactory results of acceptable accuracy.